2 papers
nlin.PS2019
The Lefever-Lejeune nonlinear lattice: convergence dynamics and the structure of equilibrium states
Nikos I. Karachalios, Paris Kyriazopoulos, Konstantinos Vetas
We consider the Lefever-Lejeune nonlinear lattice, a spatially discrete propagation-inhibition model describing the growth of vegetation densities in dry-lands. We analytically ide…
nlin.PS2018
Excitation of Peregrine-type waveforms from vanishing initial conditions in the presence of periodic forcing
Nikos I. Karachalios, Paris Kyriazopoulos, Konstantinos Vetas
We show by direct numerical simulations that spatiotemporally localized wave forms, strongly reminiscent of the Peregrine rogue wave, can be excited by vanishing initial conditions…